Electromagnetism as the Geometrodynamics of Space
Résumé
We consider electric charge to be a contracted (positive charge) or dilated (negative charge) zone of space [1]. This, surprisingly enough, yields the Maxwell theory of electrostatics, with no phenomenology. Adopting the idea that space is a lattice (cellular structure), Space Density ρ is defined as the number of space cells per unit volume (denoted ρ0 for space with no deformations). Based on this we define Electric Charge Density as: q=1/4π • (ρ-ρ0)/ρ. This charge density is positive if ρ>ρ0 and negative if ρ<ρ0. This is all we need to derive electrostatics. In this paper, by adding the Lorentz Transformation to the definition of q, we derive the entire Maxwell Electromagnetic theory with no phenomenology.
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